cuda-sieve is an experimental, standalone CUDA implementation of the lattice-sieving relation-collection pipeline used by the Number Field Sieve. It builds factor bases, sieves both sides of a special-q lattice, performs trial division and GPU cofactorisation, and emits relations for msieve.
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faster hardware could also mean gpu/asic/etc.
I'm assuming it is still GNFS but GPU backed.
For reference, check this out:
https://github.com/kyleaskine/cuda-sieve